Cara strokes the rabbit, which is sitting in the crook of her arm, as she walks down the street

Horrified staff called for the urgent assistance of maintenance men, who were forced to remove a number of floor vents so the pet could be rescued – much to Miss Delevingne’s relief.

The 21-year-old supermodel, who has posed for Burberry, Mulberry and Chanel, is known for her rather eccentric habits. Lately these have included carting Cecil to meetings in a bunny box.

She introduced ‘Cecil Bunny Delevingne’ to the world last Wednesday. He has since been photographed with his famous ‘aunties’ – her sister Poppy Delevingne as well as her friend, the singer Rita Ora. He has also been pictured frolicking around the streets of London, sitting in front of a computer keyboard and showing off his taste for Chanel.

Cara locks her pet rabbit Cecil in his cage. On May 14, she sent a tweet that said 'Meet my new bunny @cecildelevingne'

The supermodel and her famous friends are known for their obsession with social media. Cara has 5.38million followers on the photo-sharing website Instagram.

On May 14, she sent a tweet that said ‘Meet my new bunny @cecildelevingne.’

He has also been pictured frolicking around the streets of London, sitting in front of a Mac keyboard and showing off his taste for Chanel.

At the Cannes film festival last week Miss Delevigne - who is also an aspiring actress - arrived at the De Grisogono dinner party at Hotel du Cap-Eden Roc, in a Roberto Cavalli dress showing off a new intricate tattoo on the back of her neck.

She made her debut as Princess Sorokina in Anna Karenina in 2012, and has already starred in three films which are due for release in 2014 - Kids in Love, London Fields and The Face of an Angel.

After the Mulberry meeting Delevingne went on to a rehearsal for sister Poppy’s wedding at St Paul’s Church in Knightsbridge, London which took place later that week.

Tweeting celebrity pets do not have a good track record in terms of their own mortality.

Cecil’s dash for freedom had similarities with the sad passing of Alan, the in-house dachshund of magazine Tatler in central London.

Last year it had become distracted by a passing jogger and make a dash for it, through a revolving door, but sadly, it didn’t make it through to the other side.

This despite the best efforts of two fire engines and 10 firemen.

Jon Davie, managing director at leading digital agency Zone said: ‘We’ve seen a rise in the number of celebrities creating Twitter profiles for their pets, such as Andy Murray’s dog @maggiemay_hem.

'Brands have also jumped on the social media bandwagon and are using it as a platform for their mascots. It grants them access to a different type of audience.'